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3384 = 233247
BaseRepresentation
bin110100111000
311122100
4310320
5102014
623400
712603
oct6470
94570
103384
1125a7
121b60
131704
14133a
151009
hexd38

3384 has 24 divisors (see below), whose sum is σ = 9360. Its totient is φ = 1104.

The previous prime is 3373. The next prime is 3389. The reversal of 3384 is 4833.

It can be divided in two parts, 33 and 84, that multiplied together give a palindrome (2772).

3384 = T25 + T26 + ... + T32.

3384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33842 = 22902912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389) by changing a digit.

3384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (390).

23384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680).

3384 is an abundant number, since it is smaller than the sum of its proper divisors (5976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3384 is a wasteful number, since it uses less digits than its factorization.

3384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 52 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3384 is about 58.1721582890. The cubic root of 3384 is about 15.0133214990.

The spelling of 3384 in words is "three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384